Methods and apparatus to determine a conditional probability based on audience member probability distributions for media audience measurement

A method for media audience measurement, the method comprising:

• determining, by executing an instruction with one or more processors, a first audience probability distribution for a first member of a household based on a quantity of household data stored in memory;
• determining, by executing an instruction with the one or more processors, a second audience probability distribution for a second member of the household based on the quantity of household data stored in the memory;
• calculating, by executing an instruction with the one or more processors, a first probability for a first audience combination and a second probability for a second audience combination based on the first audience probability distribution and the second audience probability distribution;
• and
• reducing, by executing an instruction with the one or more processors, the quantity of household data stored in the memory by determining a household audience characteristic probability based on the first audience combination and the second audience combination the household audience characteristic indicating likelihoods of different possible audience compositions of the household for a media event.

A tangible computer readable storage medium comprising instructions which, when executed, cause a machine to at least:

• determine a first audience probability distribution for a first member of a household based on a quantity of household data stored in a memory;
• determine a second audience probability distribution for a second member of the household based on the quantity of household data stored in the memory;
• calculate a first probability for a first audience combination and a second probability for a second audience combination based on the first audience probability distribution and the second audience probability distribution;
• and
• reduce the quantity of household data stored in the memory by determining a household audience characteristic probability based on the first audience combination and the second audience combination, the household audience characteristic indicating likelihoods of different possible audience compositions of the household for a media event.